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Reaction–diffusion with stochastic decay rates

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Abstract

Understanding anomalous transport and reaction kinetics due to microscopic physical and chemical disorder is a long-standing goal in many fields including geophysics, biology, and engineering. We consider reaction–diffusion characterized by fluctuations in both transport times and decay rates. We introduce and analyze a model framework that explicitly connects microscopic fluctuations with the mescoscopic description. For broad distributions of transport and reaction time scales we compute the particle density and derive the equations governing its evolution, finding power-law decay of the survival probability, and spatially varying decay that leads to subdiffusion and an asymptotically stationary surviving-particle density. These anomalies are clearly attributable to non-Markovian effects that couple transport and chemical properties in both reaction and diffusion terms.

Graphical abstract: Reaction–diffusion with stochastic decay rates

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Publication details

The article was received on 05 May 2017, accepted on 04 Jul 2017 and first published on 04 Jul 2017


Article type: Paper
DOI: 10.1039/C7CP02971C
Citation: Phys. Chem. Chem. Phys., 2017, Advance Article
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    Reaction–diffusion with stochastic decay rates

    G. J. Lapeyre and M. Dentz, Phys. Chem. Chem. Phys., 2017, Advance Article , DOI: 10.1039/C7CP02971C

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